Find all solutions precalculus hw need help

Question

Find all solutions to on the interval

=

   Give your answers as exact values, as a list separated by commas.

Answer 1

Solving for sin(θ),

sin(θ) = √2/2 = 1/√2

We can recognize this as θ = π/4, but we also have a solution in quadrant 2, namely θ = 3π/4.

Answer 2

2sin(x) = √2

sin(x) = (√2) / 2

To find the solutions that satisfy this equation, look at the y-coordinate of the unit circle for (√2) / 2

This occurs when x=pi/4 and x=3pi/4